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Finding the Fourth Proportional to 10,732.59, 14,810.70 and 5,952.51

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Solution

The fourth proportional to 10,732.59, 14,810.70 and 5,952.51 is: 8,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.59 : 14,810.70 = 5,952.51 : x
  2. Step 2: Convert to fraction form
    10,732.59/14,810.70 = 5,952.51/x
  3. Step 3: Cross multiply
    10,732.59x = 14,810.70 × 5,952.51
  4. Step 4: Simplify right side
    10,732.59x = 88,160,839.86
  5. Step 5: Solve for x
    x = 88,160,839.86/10,732.59
  6. Step 6: Final answer
    x = 8,214.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.